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Calculating average and instantaneous velocities Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = -4.91² + 25t + 1. a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001. b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1. c. Use limits to verify your estimate in part (b).

Calculating average and instantaneous velocities Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = -4.91² + 25t + 1. a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001. b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1. c. Use limits to verify your estimate in part (b).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Calculating average and instantaneous velocities Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = -4.91² + 25t + 1. a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001. b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1. c. Use limits to verify your estimate in part (b).
Transcribed Image Text:Calculating average and instantaneous velocities Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = -4.91² + 25t + 1. a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001. b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1. c. Use limits to verify your estimate in part (b).
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